{"product_id":"mathematical-foundations-of-information-theory-paperback","title":"Mathematical Foundations of Information Theory - Paperback","description":"\u003cp\u003eThe first comprehensive introduction to information theory, this book places the work begun by Shannon and continued by McMillan, Feinstein, and Khinchin on a rigorous mathematical basis. For the first time, mathematicians, statisticians, physicists, cyberneticists, and communications engineers are offered a lucid, comprehensive introduction to this rapidly growing field.\u003cbr\u003eIn his first paper, Dr. Khinchin develops the concept of entropy in probability theory as a measure of uncertainty of a finite \"scheme,\" and discusses a simple application to coding theory. The second paper investigates the restrictions previously placed on the study of sources, channels, and codes and attempts \"to give a complete, detailed proof of both ... Shannon theorems, assuming any ergodic source and any stationary channel with a finite memory.\"\u003cbr\u003ePartial Contents: I. The Entropy Concept in Probability Theory -- Entropy of Finite Schemes. The Uniqueness Theorem. Entropy of Markov chains. Application to Coding Theory. II. On the Fundamental Theorems of Information Theory -- Two generalizations of Shannon's inequality. Three inequalities of Feinstein. Concept of a source. Stationarity. Entropy. Ergodic sources. The E property. The martingale concept. Noise. Anticipation and memory. Connection of the channel to the source. Feinstein's Fundamental Lemma. Coding. The first Shannon theorem. The second Shannon theorem.\u003c\/p\u003e","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":51376756130015,"sku":"9780486604343","price":10.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0813\/8958\/4607\/files\/zGIJcvL7r19780486604343.webp?v=1789225256","url":"https:\/\/blackandbarhe.com\/products\/mathematical-foundations-of-information-theory-paperback","provider":"Black \u0026 Barhe Bookstore","version":"1.0","type":"link"}